IDENTITIES RELATED TO GENERALIZED FIBONACCI AND LUCAS POLYNOMIALS
By
Garvita Agarwal1 and Manjeet Singh Teeth2
1School of Mathematics, D.A.V.V., Indore, Madhya Pradesh, India, 452001
2Department of Mathematics, Christian Eminent College, Indore, Madhya Pradesh, India, 452001
Email: gravyagrawal@gmail.com, manjeet.singh.t72@gmail.com
(Received: July 19, 2023; In format: September 23, 2023; Revised: October 24, 2023; Accepted: October 30, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53223
Abstract
The famous Fibonacci and Lucas polynomials possess various astonishing properties and identities. The Fibonacci polynomial has been generalized in many ways by preserving the recurrence relation and others by preserving the initial condition. In this paper, we dene generalized Fibonacci and Lucas polynomials and proved some famous identities in our settings.
2020 Mathematical Sciences Classification: 11B37, 11B39.
Keywords and Phrases: Fibonacci polynomial; Lucas Polynomial; Generalized Fibonacci polynomial; Generalized Lucas polynomial; Generating function.